References
- Bacharoglou, A. G. 2010. Approximation of probability distributions by convex mixtures of Gaussian measures. Proceedings of the American Mathematical Society 138 (7):2619–28. doi:10.1090/S0002-9939-10-10340-2.
- Brezis, H. 2010. Functional analysis, Sobolev spaces and partial differential equations. New York: Springer.
- Cheney, W., and W. Light. 2000. A course in approximation theory. Pacific Grove, CA: Brooks/Cole.
- Conway, J. B. 2012. A course in abstract analysis. Providence, RI: American Mathematical Society.
- DasGupta, A. 2008. Asymptotic theory of statistics and probability. New York: Springer.
- Everitt, B. S., and D. J. Hand. 1981. Finite Mixture Distributions. London: Chapman and Hall.
- Folland, G. B. 1999. Real analysis: Modern techniques and their applications. New York: Wiley.
- Frühwirth-Schnatter, S. 2006. Finite mixture and Markov switching models. New York: Springer Science & Business Media.
- Frühwirth-Schnatter, S., G. Celeux, and C. P. Robert. 2019. Handbook of mixture analysis. Boca Raton, FL: CRC Press.
- Lindsay, B. G. 1995. Mixture models: Theory, geometry and applications. In NSF-CBMS regional conference series in probability and statistics. Hayward, CA: Institute of Mathematical Statistics.
- Makarov, B., and A. Podkorytov. 2013. Real analysis: Measures, integrals and applications. London: Springer.
- McLachlan, G. J., and K. E. Basford. 1988. Mixture models: Inference and applications to clustering, Vol. 38. New York: Marcel Dekker.
- McLachlan, G. J., and D. Peel. 2000. Finite mixture models. New York: Wiley.
- Mengersen, K. L., Robert, C., and Titterington, M. eds. 2011. Mixtures: Estimation and applications. Hoboken, NJ: Wiley.
- Nestoridis, V., S. Schmutzhard, and V. Stefanopoulos. 2011. Universal series induced by approximate identities and some relevant applications. Journal of Approximation Theory 163 (12):1783–97. doi:10.1016/j.jat.2011.06.001.
- Nestoridis, V., and V. Stefanopoulos. 2007. Universal series and approximate identities. Technical Report, University of Cyprus.
- Nguyen, H. D., T. Nguyen, F. Chamroukhi, and G. J. McLachlan. 2021. Approximations of conditional probability density functions in Lebesgue spaces via mixture of experts models. Journal of Statistical Distributions and Applications 8 (1):13. doi:10.1186/s40488-021-00125-0.
- Nguyen, T. T., H. D. Nguyen, F. Chamroukhi, and G. J. McLachlan. 2020. Approximation by finite mixtures of continuous density functions that vanish at infinity. Cogent Mathematics & Statistics 7 (1):1750861. doi:10.1080/25742558.2020.1750861.
- Rudin, W. 1976. Principles of mathematical analysis. New York: McGraw-Hill.
- Rudin, W. 1987. Real and complex analysis. New York: McGraw-Hill.
- Xu, Y., W. A. Light, and E. W. Cheney. 1993. Constructive methods of approximation by ridge functions and radial functions. Numerical Algorithms 4 (2):205–23. doi:10.1007/BF02144104.